The statement of Theorem 1.4 is not set to be optimal. Calabi-Yau and canonical singularities can very likely be relaxed to Kähler-Einstein and log-terminal singularities. The only point of the polarized and smoothable conditions is to make direct u…

Let $X$ be a complex projective variety with only canonical singularities and with trivial canonical bundle. Let $L$ be an ample line bundle on $X$. …

Up to this point we have been concerned with the LTUSO of a given spin ℓ. We will henceforth denote its dimension by Δ(1)ℓ, and the positive coefficient of the corresponding conformal block by a(1)ℓ. In the previous section we presented a central-ch…

In this long overdue second installment, we continue to develop the conformal bootstrap program for ${\mathcal N}=4$ superconformal field theories in…

In this paper, we integrate coordinate-wise AdaGrad with heavy ball and Nesterov accelerate gradient momentum mechanisms which yields two new adaptive stochastic gradient decent methods called AdaHB and AdaNAG, respectively. Their convergence rates …

Adaptive stochastic gradient descent methods, such as AdaGrad, Adam, AdaDelta, Nadam, AMSGrad, \textit{etc.}, have been demonstrated efficacious in s…

In this section we study Mhol using methods of complex geometry. We prove some general properties of the moduli spaces and give their complete description when Σ is a Riemann surface of genus zero, one, or two.

The Seiberg-Witten equation with multiple spinors generalises the classical Seiberg-Witten equation in dimension three. In contrast to the classical …

The photon spectrum in macrocoherent atomic de-excitation via radiative emission of neutrino pairs (RENP) has been proposed as a sensitive probe of t…

In nonmagnetic insulators, phonons are the carriers of heat. If heat enters in a region and temperature is measured at a point within phonon mean fre…

Using fluorescence microscopy we study the adsorption of single latex microparticles at a water/water interface between demixing aqueous solutions of…

Combined-resolution simulations are a powerful way to study molecular properties across a range of length- and time-scales. These simulations can ben…

Any optical quantum information processing machine would be comprised of fully-characterized constituent devices for both single state manipulations …

At the core of understanding dynamical systems is the ability to maintain and control the systems behavior that includes notions of robustness, heter…

We investigate the interplay of disorder and interactions in the accelerated transport of a Bose-Einstein condensate through an incommensurate optica…

A QCD factorization formalism was recently proposed for evaluating heavy quarkonium production at large $p_T$ at collider energies. With systematical…

We continue our study of the physical properties of the recurrent nova T Pyx, focussing on the structure of the ejecta in the nebular stage of expans…

Models of spread processes over non-trivial networks are commonly motivated by modeling and analysis of biological networks, computer networks, and h…

We describe a novel search for MeV-to-GeV-mass dark matter, in which the dark matter scatters off electrons in a scintillating target. The excitation…

Despite more than a decade of research on adiabatic quantum computation (AQC), its decoherence properties are still poorly understood. Many theoretic…

We record some topological facts that are needed for the proof of Lemma 2.2. We state them and provide references for n≥3, but all these statements are also true for n=2. We refer the reader to [Daverman-Venema] for the definitions of the various to…

We prove that all Sierpi\'nski spaces in ${\mathbb{S}}^n$, $n\geq 2$, are non-removable for (quasi)conformal maps, generalizing the result of the fir…

In this section we discuss about automorphisms and automorphism groups of smooth cubic fourfolds in general (i.e. without the symplectic assumption). We first discuss some general structure results in §6.1 (the same arguments apply to K3 surfaces or…

We classify the symplectic automorphism groups for cubic fourfolds. The main inputs are the global Torelli theorem for cubic fourfolds and the classi…

We derive a Lorentzian OPE inversion formula for the principal series of $sl(2,\mathbb{R})$. Unlike the standard Lorentzian inversion formula in high…

State space models provide an interpretable framework for complex time series by combining an intuitive dynamical system model with a probabilistic o…

By signing up you accept our content policy

Already have an account? Sign in

No a member yet? Create an account